Control of Nonlinear Uncertain Systems by Extended PID
Zhao, Cheng1; Guo, Lei2
AbstractSince the classical proportional-integral-derivative (PID) controller is the most widely and successfully used ones in industrial processes, it is of vital importance to investigate theoretically the rationale of this ubiquitous controller in dealing with nonlinearity and uncertainty. Recently, we have investigated the capability of the classical PID control for second-order nonlinear uncertain systems, and provided some analytic design methods for the choices of PID parameters, where the system is assumed to be in the form of cascade integrators. In this article, we will consider the natural extension of the classical PID control for high-order affine-nonlinear uncertain systems. In contrast to most of the literature on controller design of nonlinear systems, we do not require such special system structures as normal or triangular forms, thanks to the strong robustness of the extend PID controller. To be specific, we will show that under some suitable conditions on nonlinearity, and uncertainty of the systems, the extended PID controller can semiglobally stabilize the nonlinear uncertain systems, and at the same time the regulation error converges to zero exponentially fast, as long as the control parameters are chosen from an open unbounded parameter manifold constructed in this article.
KeywordNonlinear systems Uncertain systems PD control PI control Uncertainty Design methodology Regulation Affine nonlinear systems diffeomorphism normal form proportional-integral-derivative (PID) control regulation system uncertainty
Indexed BySCI
Funding ProjectNational Natural Science Foundation of China[11688101]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000678334500041
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Document Type期刊论文
Corresponding AuthorGuo, Lei
Affiliation1.Shandong Univ, Res Ctr Math & Interdisciplinary Sci, Shandong 266237, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhao, Cheng,Guo, Lei. Control of Nonlinear Uncertain Systems by Extended PID[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2021,66(8):3840-3847.
APA Zhao, Cheng,&Guo, Lei.(2021).Control of Nonlinear Uncertain Systems by Extended PID.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,66(8),3840-3847.
MLA Zhao, Cheng,et al."Control of Nonlinear Uncertain Systems by Extended PID".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 66.8(2021):3840-3847.
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